1998434592 has 960 divisors, whose sum is σ = 8430428160. Its totient is φ = 447897600.

The previous prime is 1998434591. The next prime is 1998434597. The reversal of 1998434592 is 2954348991.

1998434592 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 43 + 4 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2799360) is a multiple of the sum of its prime divisors (90).

It is not an unprimeable number, because it can be changed into a prime (1998434591) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 64465617 + ... + 64465647.

It is an arithmetic number, because the mean of its divisors is an integer number (8781696).

Almost surely, 2^1998434592 is an apocalyptic number.

1998434592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1998434592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215214080).

1998434592 is an abundant number, since it is smaller than the sum of its proper divisors (6431993568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1998434592 is a wasteful number, since it uses less digits than its factorization.

1998434592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 1998434592 is about 44703.8543304713. The cubic root of 1998434592 is about 1259.5922490135.

The spelling of 1998434592 in words is "one billion, nine hundred ninety-eight million, four hundred thirty-four thousand, five hundred ninety-two".